MATH204 MIDTERM AND SOLUTIONS_WINTER 2020.pdf - MATH 204...

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MATH. 204.MIDTERM EXAMINATION. Winter 2020. Each question worth 10 marks.1. Compute the inverse of: 123
2. Compute the determinant of:
5. Solve the System of Equations:
1
3 6. Determine the values of a and b such that this system of equations: x + 2y = 3 has (a) no solutions.
MATH. 204. Winter 2020. MIDTERM SOLUTIONS.1. 𝐴𝐴−1=031232111. 2. |𝐴𝐴| =1101212131124235𝑅𝑅1 +𝑅𝑅2→ 𝑅𝑅2−𝑅𝑅1 +𝑅𝑅4→ 𝑅𝑅4− − − − −−→1000232134114631𝑅𝑅3 +𝑅𝑅4→ 𝑅𝑅4− − − − −−→100023213 4 1046342𝐶𝐶3 +𝐶𝐶2→ 𝐶𝐶2− − − − − − −→100045013 4 104634.100045013 4 104634𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐶𝐸𝐸𝐸𝐸𝐸𝐸𝐶𝐶𝐸𝐸𝑠𝑠𝑖𝑖𝐶𝐶𝐸𝐸− − − − − − − − −→546013104=

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